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Finding the Fourth Proportional to 10,299, 15,451.08 and 4,756.22

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Solution

The fourth proportional to 10,299, 15,451.08 and 4,756.22 is: 7,135.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299 : 15,451.08 = 4,756.22 : x
  2. Step 2: Convert to fraction form
    10,299/15,451.08 = 4,756.22/x
  3. Step 3: Cross multiply
    10,299x = 15,451.08 × 4,756.22
  4. Step 4: Simplify right side
    10,299x = 73,488,735.72
  5. Step 5: Solve for x
    x = 73,488,735.72/10,299
  6. Step 6: Final answer
    x = 7,135.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.